Kinetic theory of nonlinear dust-acoustic waves in a dusty plasma

Lakshmi, S. Vidhya; Bharuthram, R.; Rao, N. N.; Shukla, P. K.

doi:10.1016/s0032-0633(96)00120-1

Cited by 21 publications

(5 citation statements)

References 26 publications

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“…(4) and (5) recover the Maxwellian distribution and Eqs. (6) and (7) become n a ¼ n 0a expðÀq a /=k B T a Þ with the temperature T a being a constant. For other j and j 0 values, the temperature has dependence on / and is, thus, not spatially uniform.…”

Section: Model Equationsmentioning

confidence: 99%

“…(A4)-(A6) into Eqs. (6) and (A1)-(A3), we obtain, respectively, the equations for the lowest and the second orders in e as…”

Section: Appendix A: Derivation Of the Kdv Equationmentioning

confidence: 99%

“…In particular, the presence of charged massive dust particles may result in new wave modes such as dust-acoustic mode and thus modify the characteristics of nonlinear waves. [4][5][6][7] The purpose of this study is to develop a general formulation for acoustic solitons in three-component plasma systems. Although theoretical models for dust acoustic solitons (DASs) have already existed, [8][9][10][11][12][13] our formulation is more generalized in that the charges of the three types of particles are not specified.…”

Section: Introductionmentioning

confidence: 99%

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General formulation for acoustic solitons in three-component nonthermal plasmas

Chuang

Hau

2011

Physics of Plasmas

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A generalized formulation is developed for nonlinear acoustic solitons in three-component such as dust-ion-electron and electron-positron-ion plasmas with the charge of each species being unspecified. The heavy, cold charged particles (ions or dust particles) are treated as a fluid while the light, hot components are described by the kinetic Vlasov equation with separate velocity distributions which can be of j function or highly nonthermal (non-monotonic) distributions. The model is also applicable for two-component such as ion-electron plasmas with two different temperatures for electrons. The generalized dispersion relation for acoustic waves and the Korteweg-de Vries equations as well as the Sagdeev potential are derived for various models with different combinations of velocity distributions. The parameter regimes for the existence of acoustic solitons are analyzed and examples of nonlinear solutions are illustrated. The polarity of electric potential is found to exhibit anomaly for highly nonthermal cases.

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Section: Model Equationsmentioning

confidence: 99%

“…(A4)-(A6) into Eqs. (6) and (A1)-(A3), we obtain, respectively, the equations for the lowest and the second orders in e as…”

Section: Appendix A: Derivation Of the Kdv Equationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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General formulation for acoustic solitons in three-component nonthermal plasmas

Chuang

Hau

2011

Physics of Plasmas

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“…It was shown that such ions lead to an increase (decrease) of the widths (amplitude) of the solitons. Vidhya Lakshma et al [21] carried out kinetic as well as £uid analysis of nonlinear dust-acoustic waves in dusty plasma. Kinetic and £uid models lead to essentially the same results in the limit of dust thermal speed being much smaller than the dust-acoustic speed [22].…”

Section: Introductionmentioning

confidence: 99%

Higher-Order Contributions to Dust-Acoustic Waves in a Magnetized Dusty Plasmas

El‐Labany

Moslem

2002

Phys. Scr.

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Propagation of linear and nonlinear dust-acoustic waves (DAWs) in a magnetized three component dusty plasma consisting of negatively charged dust-particles, isothermal ions and electrons are investigated. The standard normal-mode analysis is used to study the stability condition of linear dust-acoustic waves. However, for nonlinear waves, a reductive perturbation theory is applied to obtain the Zakharov–Kuznetsov (ZK) equation for the first-order perturbed potential and a linear inhomogeneous Zakharov–Kuznetsov-type (LIZKT) equation for the second-order perturbed potential. At the critical phase velocity, the coefficient of the nonlinear terms of the ZK and LIZKT equations vanishes. A new set of expansion physical parameters and stretched coordinates are then used to derive a modified Zakharov–Kuznetsov (MZK) equation for the first order perturbed potential and a linear inhomogeneous modified Zakharov–Kuznetsov-type (LIMZKT) equation for the second-order perturbed potential. Stationary solutions of the coupled equations, for both cases, are obtained using a renormalization method. The effects of the higher-order contributions, the external magnetic field, the phase velocity, and the directional cosine of the wave vector k along the x-axis on the nature of the solitary waves are also discussed.

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“…For example, Mamun et al [4] reported that only negative potential structures associated with nonlinear DAWs can exist in a two component plasma of ions and dust particles. Lakshmi et al [5] carried out the kinetic as well as fluid analysis of nonlinear DAWs in a dusty plasma. Kinetic and fluid models lead to essentially the same results in the limit of dust thermal speed being much smaller than the dustacoustic speed.…”

Section: Introductionmentioning

confidence: 99%

Kadomtsev-Petviashvili Equation for Dust Acoustic Solitary Waves in a Warm Dusty Plasma with Dust Charge Variation

et al. 2004

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The properties and stability of nonlinear three-dimensional dust acoustic solitary waves are examined in a dusty plasma, having warm variational charged dust grains, hot ions and electrons, through the derivation of the Kadomtsev-Petviashvili equation using the reductive perturbation method. It is found that only rarefactive solitary waves can propagate in this system. To determine the stability of the waves, we used a method based on energy considerations to obtain a condition for stable solitary waves. It is found that this condition depends on dust charge variation, dust grains temperature, directional cosine of the wave vector k along the x-axis. Also, we study the dependance of the amplitude and the width on various plasma parameters. The findings of this investigation may be useful in understanding laboratory plasma phenomena and astrophysical situations.

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Kinetic theory of nonlinear dust-acoustic waves in a dusty plasma

Cited by 21 publications

References 26 publications

General formulation for acoustic solitons in three-component nonthermal plasmas

General formulation for acoustic solitons in three-component nonthermal plasmas

Higher-Order Contributions to Dust-Acoustic Waves in a Magnetized Dusty Plasmas

Kadomtsev-Petviashvili Equation for Dust Acoustic Solitary Waves in a Warm Dusty Plasma with Dust Charge Variation

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